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Finding the Third Proportional to 531,292 and 813,084

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Solution

The third proportional to 531,292 and 813,084 is: 1,244,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,292 : 813,084 = 813,084 : x
  2. Step 2: Convert to fraction form
    531,292/813,084 = 813,084/x
  3. Step 3: Cross multiply
    531,292x = 813,084 × 813,084
  4. Step 4: Simplify right side
    531,292x = 661,105,591,056
  5. Step 5: Solve for x
    x = 661,105,591,056/531,292
  6. Step 6: Final answer
    x = 1,244,335.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.